14688256 has 56 divisors (see below), whose sum is σ = 32241744. Its totient is φ = 6635520.

The previous prime is 14688253. The next prime is 14688259. The reversal of 14688256 is 65288641.

It is an interprime number because it is at equal distance from previous prime (14688253) and next prime (14688259).

It is not an unprimeable number, because it can be changed into a prime (14688253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90031 + ... + 90193.

Almost surely, 2^14688256 is an apocalyptic number.

14688256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120872).

14688256 is an abundant number, since it is smaller than the sum of its proper divisors (17553488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14688256 is an equidigital number, since it uses as much as digits as its factorization.

14688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 14688256 is about 3832.5260599244. The cubic root of 14688256 is about 244.9007289059.

The spelling of 14688256 in words is "fourteen million, six hundred eighty-eight thousand, two hundred fifty-six".